Rodrigue, D.; De Kee, D.; Chan Man Fong, C. F. The slow motion of a single gas bubble in a non-Newtonian fluid containing surfactants. (English) Zbl 0976.76007 J. Non-Newtonian Fluid Mech. 86, No. 1-2, 211-227 (1999). From the summary: We calculate the drag force experienced by bubbles rising freely in an inelastic shear-thinning fluid. In particular, we consider the effect of contaminants when the continuous phase can be represented by power-law or three-parameter Carreau models. Two cases are examined in order to take into account the effect of surfactants: (a) interfacial mass transfer is taken into account via a perturbation around the thermodynamic equilibrium values using Gibbs elasticity, and (b) a continuous distribution of impurities over the whole interface (uniform retardation) leading to Marangoni stresses. The relations obtained are based on perturbation methods around the Newtonian solution. Cited in 3 Documents MSC: 76A05 Non-Newtonian fluids 76T10 Liquid-gas two-phase flows, bubbly flows 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:Carreau fluid; gas bubble; drag force; inelastic shear-thinning fluid; effect of surfactants; interfacial mass transfer; thermodynamic equilibrium; Gibbs elasticity; Marangoni stresses; perturbation methods PDFBibTeX XMLCite \textit{D. Rodrigue} et al., J. Non-Newton. Fluid Mech. 86, No. 1--2, 211--227 (1999; Zbl 0976.76007) Full Text: DOI